切向气流对激光加热材料的影响

 在重复频率YAG激光加载下，研究了30CrMnSiA钢片分别处于空气自然对流和切向强迫气流环境中不同的温度响应。实验用红外热像仪对靶前表面的温度进行了实时诊断，结果表明，在激光作用下，靶材的温升与靶前表面的对流换热状况有较大的关系，当靶面存在马赫数为0.1左右的切向气流时，材料的温升曲线明显低于靶处于空气自然对流环境下的温升曲线，气流与靶面的对流换热使得材料的激光加工所需能量或功率增加。这与应用热边界层换热动力学理论得到的结论一致。     

Convection-enhanced diffusion for random flows

We analyze the effective diffusivity of a passive scalar in a two-dimensional, steady, incompressible random flow that has mean zero and a stationary stream function. We show that in the limit of small diffusivity or large Peclet number, with convection dominating, there is substantial enhancement of the effective diffusivity. Our analysis is based on some new variational principles for convection diffusion problems and on some facts from continuum percolation theory, some of which are widely believed to be correct but have not been proved yet. We show in detail how the variational principles convert information about the geometry of the level lines of the random stream function into properties of the effective diffusivity and substantiate the result of Isichenko and Kalda that the effective diffusivity behaves likeɛ ^3/13 when the molecular diffusivityɛ is small, assuming some percolation-theoretic facts. We also analyze the effective diffusivity for a special class of convective flows, random cellular flows, where the facts from percolation theory are well established and their use in the variational principles is more direct than for general random flows.     

Transport and sedimentation of solid particles in Bénard hexagonal cells

The motion of particles moving under gravity in the velocity field of a liquid in a Bénard hexagonal cell is studied experimentally and numerically for Stokes flow conditions. We then explain the settlement of particles in the centers of cells to form a regular quincunx. It is found that sedimentation also occurs preferentially along the lines connecting the centers of adjacent cells to form a triangle deposition tessellation. Finally, it is explained why particles occupy the central part of each convective cell while the peripheral part of the cell quickly becomes limpid. Numerical results are in agreement with the experimental observations of Bénard and those of the present study.     

Calculation of Families of Stationary Filtration Convection Regimes in a Narrow Container

A plane Darcy filtration convection problem for rectangular containers elongated in the vertical direction is considered. By the spectraldifference method, which preserved cosymmetry of the initial problem, evolution of families of stationary regimes from the onset of instability on the primary family till the collision of the families is studied.     

Noise correlations in shear flows

We consider the effects of a shear on velocity fluctuations in a flow. The shear gives rise to a transient amplification that not only influences the amplitude of perturbations but also their time correlations. We show that, in the presence of white noise, time correlations of transversal velocity components are exponential and that correlations of the longitudinal components are exponential with an algebraic prefactor. Cross correlations between transversal and downstream components are strongly asymmetric and provide a clear indication of non-normal amplification. We suggest experimental tests of our predictions. Received 26 February 2002 / Received in final form 11 March 2003 Published online 20 June 2003 RID="a" ID="a"e-mail: bruno.eckhardt@physik.uni-marburg.de RID="b" ID="b"Also at: Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, India     

远场来流对过冷熔体中球状晶体生长的影响

利用渐近分析方法研究了远场来流引起的对流对过冷熔体中球状晶体的生长形态的影响.结果表明,由远场来流导致的对流使得正在生长的球状晶体的界面在向着来流的前部朝来流方向相反的方向生长, 并且提高了朝来流的相反方向的生长速度, 在背风方向衰减；正在衰减的球状晶体的界面在向着来流的前部加速衰减, 在背风方向减缓衰减. 关键词： 球状晶体 远场来流 对流 界画形态     

周期性边界条件下多孔介质方腔内自然对流换热数值研究

对充满多孔介质的倾斜方腔,在其上下壁面绝热、右侧壁面维持恒温To及左侧壁面温度基于To随时间按正弦规律变化的情况下,采用Brinkman扩展达西模型和SIMPLER算法对方腔内的自然对流与换热进行了非稳态数值模拟,方腔倾角α的范围为0°～90°,Pr数为1,Ra数为106.计算研究不同的振荡频率和方腔倾角对方腔内对流换热的影响.数值模拟结果表明:振荡频率f为60π,方腔倾角为43°时,方腔内的换热最强.     

多组元化合物晶体生长过程中的双扩散对流现象

针对多组元化合物晶体的Bridgman生长过程,通过对液相区流场和浓度场的数值模拟,研究生长过程中容器内部双扩散对流与组分分布的情况.首先对比了三段场和梯度场炉壁温度设计情况下液相区的流体双扩散对流以及组分分布情况.在此基础上,针对梯度场炉壁温度条件,分析了不同参数的影响.结果表明:在溶质格拉晓夫数较大时,它的增大能够明显地削弱液相区的流体流动,从而使得界面附近的组分分布也产生变化;此外,拉晶速度的增大也能够使得液相区的双扩散对流受到抑制.     

恒热流加热开口腔自然对流的可视化实验和数值模拟

本文采用激光全息干涉和激光片光照射烟可视化方法获得了恒热流加热的二维开口腔自然对流问题的温度场和流场,并进行了数值分析.实验结果与数值模拟结果吻合.数值计算表明方腔内流体的流通量与Ra*和深高比B有关,当Ra*＞104时随深高比B增加流通量增加;B×Nu与深高比B呈线性关系.利用B×Nu与深高比B的线性关系,通过引入当量导热系数λc,本文还给出了加热壁面的平均温度的简单计算方法.